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Finding the Third Proportional to 131,280 and 287,976

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Solution

The third proportional to 131,280 and 287,976 is: 631,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280 : 287,976 = 287,976 : x
  2. Step 2: Convert to fraction form
    131,280/287,976 = 287,976/x
  3. Step 3: Cross multiply
    131,280x = 287,976 × 287,976
  4. Step 4: Simplify right side
    131,280x = 82,930,176,576
  5. Step 5: Solve for x
    x = 82,930,176,576/131,280
  6. Step 6: Final answer
    x = 631,704.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.